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Finding the Fourth Proportional to 100,937.56, 151,234.16 and 71,298.32

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Solution

The fourth proportional to 100,937.56, 151,234.16 and 71,298.32 is: 106,825.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,937.56 : 151,234.16 = 71,298.32 : x
  2. Step 2: Convert to fraction form
    100,937.56/151,234.16 = 71,298.32/x
  3. Step 3: Cross multiply
    100,937.56x = 151,234.16 × 71,298.32
  4. Step 4: Simplify right side
    100,937.56x = 10,782,741,534.61
  5. Step 5: Solve for x
    x = 10,782,741,534.61/100,937.56
  6. Step 6: Final answer
    x = 106,825.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.